Simplify and write the result in the form

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Simplify

\displaystyle\frac{(m^{-3})^{2}\times m^{4}}{m^{-5}\times (m^{2})^{-3}}

and write the result in the form

m^{k}

. What is

k

? (a)

4

(b)

-13

(c)

9

(d)

-3